Question

Find the value of cube root of the number $45$. (Round off your number to the nearest whole number)

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is D $4$

We need to find value of $\sqrt[3]{345}$
Take, $n=45$, choose any starting value of $x$.
So, $3^3$ is $27<45$
So, $x=3$
$x_{\text{next}}=$ $\frac{2}{3}x+\frac{n}{3x^2}$
$x_{\text{next}}=$ $\frac{2}{3}3+\frac{45}{3\times 3^2}$
$x_{\text{next}}=3.6666$
So, the nearest whole number for the cube root $45$ is $4$.